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Finding the Fourth Proportional to 195,634, 269,974.92 and 106,210

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Solution

The fourth proportional to 195,634, 269,974.92 and 106,210 is: 146,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,634 : 269,974.92 = 106,210 : x
  2. Step 2: Convert to fraction form
    195,634/269,974.92 = 106,210/x
  3. Step 3: Cross multiply
    195,634x = 269,974.92 × 106,210
  4. Step 4: Simplify right side
    195,634x = 28,674,036,253.20
  5. Step 5: Solve for x
    x = 28,674,036,253.20/195,634
  6. Step 6: Final answer
    x = 146,569.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.